Question

three numbers are in the ratio2:3:4. Find the numbers if the sum of their cubes is 72,171​

Answer 1

Answer:

Numbers are 18, 27, 36

Step-by-step explanation:

Let the numbers be=2x, 3x, 4x

According to question

2x^3+3x^3+4x^3=72171

8x^3+27x^3+64x^3=72171

99x^3=72171

x^3=72171/99

x^3=729

$x = \sqrt[3]{729}$

x=9

so numbers are

2x=2*9=18

3x=3*9=27

4x=4*9=36

Answer 2

Step-by-step

x=9,the nos are18,27,36